Gaussian and Prüfer conditions in bi-amalgamated algebras

2018/07/12 by Mahdou, Najib, Moutui, Moutu Abdou Salam
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.04791

Abstract

Let f: A→ B and g: A→ C be two ring homomorphisms and let J (resp., J') be an ideal of B (resp., C) such that f^-1(J)=g^-1(J'). In this paper, we investigate the transfer of the notions of Gaussian and Prüfer properties to the bi-amalgamation of A with (B,C) along (J,J') with respect to (f,g) (denoted by A\bowtie^f,g(J,J')), introduced and studied by Kabbaj, Louartiti and Tamekkante in 2013. Our results recover well known results on amalgamations in \citeFinno and generate new original examples of rings satisfying these properties.

Related

• Gaussian property in amalgamated algebras along an ideal
• Prüfer-like conditions on an amalgamated algebra along an ideal
• Prûfer property in amalgamated algebras along an ideal
• Bi-Amalgamated algebras along ideals
• Prüfer- like conditions in the amalgamated duplication of a ring along an ideal